Suppose there are six people - j, m, r, s, t and w - who pass rumours among themselves. each day j talks with m and w; m talks with j, r and s; r talks with m, s and t; s talks with m, r, t and w; t talks with r, s and w; w talks with j, s and t. whatever people hear one day they pass on to others the next day.

(a) model this rumour passing situation with a graph.

(b) how many days does it take to pass a rumour from j to s ? who will tell it to s ?

(c) is there any way that if two people stopped talking to each other, then it must take three days to pass a rumour from one person to all the others ?

A) see attached

B) it takes 2 days, can be tell by w or s

C) Yes

Step-by-step explanation:

A) Image attached shows the situation, each arrow represents a talking between the 2 people.

B) As you can see, J has to tell M or W, that will take a day. Then, M or W have to tell S, that will take another day. In total it takes 2 days. As explanined, it can be tell by M or W.

C) Lets suppose that M and R stop talking to each other, this means they won't tell rumors. So, if the rumour begans with J, we would tell to W, one day, W will tell S, 2 days and S will tell T, 3 days. it would take 3 days to arrive to T.

ok

step-by-step explanation: